4633545936096 has 576 divisors, whose sum is σ = 17193011996160. Its totient is φ = 1192460175360.

The previous prime is 4633545936091. The next prime is 4633545936127. The reversal of 4633545936096 is 6906395453364.

It is a happy number.

4633545936096 is a `hidden beast` number, since 4 + 6 + 3 + 35 + 4 + 593 + 6 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633545936091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65228470 + ... + 65299466.

It is an arithmetic number, because the mean of its divisors is an integer number (29848979160).

Almost surely, 2^{4633545936096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4633545936096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596505998080).

4633545936096 is an abundant number, since it is smaller than the sum of its proper divisors (12559466060064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4633545936096 is a wasteful number, since it uses less digits than its factorization.

4633545936096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71149 (or 71129 counting only the distinct ones).

The product of its (nonzero) digits is 188956800, while the sum is 63.

The spelling of 4633545936096 in words is "four trillion, six hundred thirty-three billion, five hundred forty-five million, nine hundred thirty-six thousand, ninety-six".